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Finding the Fourth Proportional to 52,049.84, 71,828.78 and 28,176.71

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Solution

The fourth proportional to 52,049.84, 71,828.78 and 28,176.71 is: 38,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.84 : 71,828.78 = 28,176.71 : x
  2. Step 2: Convert to fraction form
    52,049.84/71,828.78 = 28,176.71/x
  3. Step 3: Cross multiply
    52,049.84x = 71,828.78 × 28,176.71
  4. Step 4: Simplify right side
    52,049.84x = 2,023,898,203.69
  5. Step 5: Solve for x
    x = 2,023,898,203.69/52,049.84
  6. Step 6: Final answer
    x = 38,883.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.